(1+i)^ 2016 (1-i)^ 2014 = - Vidyadip

MCQ

$\frac{(1+i)^{2016}}{(1-i)^{2014}}=$

✓
$-2 i$
B
2 i
C
2
D
-2

✓

Answer

Correct option: A.

$-2 i$

(A)
$\left(\frac{1+ i }{1- i }\right)^{2014} \times(1+ i )^2= i ^{2014} 2 i$
$=\left(i^2\right)^{1007}(2 i)$
$=-1(2 i )$
$=-2 i$

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